Constant of Proportionality (tables, graphs, word problems)

Flashcard
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Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Constant of Proportionality?
Back
The Constant of Proportionality is the ratio between two proportional quantities, often represented as 'k'. It remains constant as the values change.
2.
FLASHCARD QUESTION
Front
How do you find the Constant of Proportionality from a table?
Back
To find the Constant of Proportionality from a table, divide the value of one quantity by the corresponding value of the other quantity. If the ratio is the same for all pairs, that ratio is 'k'.
3.
FLASHCARD QUESTION
Front
What does a graph of a proportional relationship look like?
Back
A graph of a proportional relationship is a straight line that passes through the origin (0,0). The slope of the line represents the Constant of Proportionality.
4.
FLASHCARD QUESTION
Front
If a car travels 90 miles in 2 hours, what is the Constant of Proportionality?
Back
The Constant of Proportionality is 45 miles per hour (90 miles ÷ 2 hours = 45 miles/hour).
5.
FLASHCARD QUESTION
Front
What is the formula to calculate the Constant of Proportionality?
Back
The formula is k = y/x, where 'y' is the dependent variable and 'x' is the independent variable.
6.
FLASHCARD QUESTION
Front
If the Constant of Proportionality is 15, what does this mean in a word problem context?
Back
It means that for every unit increase in the independent variable, the dependent variable increases by 15 units.
7.
FLASHCARD QUESTION
Front
How can you determine if two quantities are proportional?
Back
Two quantities are proportional if their ratios are constant, meaning the Constant of Proportionality is the same for all pairs of values.
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